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Finding the Fourth Proportional to 190.30, 283.47 and 187.87

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Solution

The fourth proportional to 190.30, 283.47 and 187.87 is: 279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.30 : 283.47 = 187.87 : x
  2. Step 2: Convert to fraction form
    190.30/283.47 = 187.87/x
  3. Step 3: Cross multiply
    190.30x = 283.47 × 187.87
  4. Step 4: Simplify right side
    190.30x = 53,255.51
  5. Step 5: Solve for x
    x = 53,255.51/190.30
  6. Step 6: Final answer
    x = 279.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.